The goal of this paper is to obtain some comparison inequalities for a linear operator between polynomials in the plane. The polynomials under study have constraints on their zeros and the estimates ...

Graph polynomials serve as robust algebraic encodings of the intricate combinatorial properties inherent to graphs. At the heart of this discipline lies the Tutte polynomial, an invariant that not ...

About Solving robot IK by finding zeros of a polynomial, from "IK-Geo: Unified Robot Inverse Kinematics Using Subproblem Decomposition" and "Redundancy parameterization and inverse kinematics of 7-DOF ...

The main object of this paper is to consider the asymptotic distribution of the zeros of certain classes of the Clausenian hypergeometric 3 F 2 functions and polynomials. Some classical analytic ...

Relationships Between the Zeros, Weights, and Weight Functions of Orthogonal Polynomials: Derivative Rule Conjecture (the DRC) Applied to Stieltjes and Spectral Imaging ...

How to count zeroes of polynomials on quadrature domains using the Bezout matrix ...

In this paper, new upper bounds for the magnitudes of the zeros of polynomials are developed. These bounds are derived from the Cauchy classical bound applied to a new polynomial having zeros with ...